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 one year ago
A train travels between two stations 1/2 mile apart in a minimum time of 41 sec. If the train accelerates and decelerates at 8 ft/sec^2, starting from the first station and coming to a stop at the second station, what is its maximum speed in mph? How long does it travel at this top speed?
 one year ago
A train travels between two stations 1/2 mile apart in a minimum time of 41 sec. If the train accelerates and decelerates at 8 ft/sec^2, starting from the first station and coming to a stop at the second station, what is its maximum speed in mph? How long does it travel at this top speed?

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ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0Let's say that the train takes \(t_0\) time to reach the max. speed \(v_o\). Use the equation \(v_f = v_i + at\). Then you have,\[v_0 = 8t_0\]\[0 = v_0  8(41  t_0)\]

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0Two equations... two variables. Solve.

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0That is, if I understood your question correctly. The train starts, accelerates at 8 ft/sec^2, reaches the top speed, and decelerates at 8 ft/sec^2?

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0If that is so, then the other info is useless.

bii17
 one year ago
Best ResponseYou've already chosen the best response.0the final answer should be 60mph. but i did't get the same answer ung your two equations
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